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Finding the Fourth Proportional to 10,478.64, 14,458.64 and 7,690.80

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Solution

The fourth proportional to 10,478.64, 14,458.64 and 7,690.80 is: 10,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.64 : 14,458.64 = 7,690.80 : x
  2. Step 2: Convert to fraction form
    10,478.64/14,458.64 = 7,690.80/x
  3. Step 3: Cross multiply
    10,478.64x = 14,458.64 × 7,690.80
  4. Step 4: Simplify right side
    10,478.64x = 111,198,508.51
  5. Step 5: Solve for x
    x = 111,198,508.51/10,478.64
  6. Step 6: Final answer
    x = 10,611.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.